Optimization Problem: Ring on a String | Single Variable Calculus | Project Ulim

We set up an optimization problem from describing the situation of someone holding two ends of a string fixed and allowing a ring to hang on it. The place where this ring settles has important implications for the construction of suspension bridges! Project Ulim aims to deliver a world-class computer science education for free. The content is adapted from the free, amazing, content put together by the MIT staff and can be found for free at https://ocw.mit.edu/. Additionally, the Single Variable Calculus content is meant to seamlessly pair with Khan Academy’s Calculus BC playlist, which can be accessed for free along with all other Khan Academy content at [khanacademy.org](http://khanacademy.org). Project Ulim is not affiliated with MIT or Khan Academy in any capacity. This content is licensed under a Creative Commons License which is detailed down below. The following video links are links to the Khan Academy content where this video would sequence in their Calculus BC content. Watch the next lesson (Project Ulim): https://youtu.be/zjYobs-tbA8 Watch the previous lesson (Khan Academy Calculus BC): https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-analytical-applications-new/bc-5-11/v/rectilinear-motion-example-maximum-acceleration Creative Commons License: https://creativecommons.org/licenses/by-nc-sa/4.0/ The content in this video was adapted from a worked example given in lecture 13 by David Jerison in session 32 of Single Variable Calculus. The link to which can be found here: https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/clip-1-ring-on-a-string/